4 papers
State Diagnostics of Complexity in Open Quantum Systems
Komal Sah, Fabio Anza, Alexandra M. Jurgens +1
We study the emergence of complexity in finite-size quantum systems as their dynamics transition from closed and coherent evolution to interacting and effectively open behavior. Us…
Way More Than the Sum of Their Parts: From Statistical to Structural Mixtures
James P. Crutchfield
We show that mixtures comprised of multicomponent systems typically are much more structurally complex than the sum of their parts; sometimes, infinitely more complex. We contrast…
Agentic Information Theory: Ergodicity and Intrinsic Semantics of Information Processes
James P. Crutchfield, Alexandra Jurgens
We develop information theory for the temporal behavior of memoryful agents moving through complex -- structured, stochastic -- environments. We introduce and explore information p…
Taxonomy of Prediction
Alexandra Jurgens, James P. Crutchfield
A prediction makes a claim about a system's future given knowledge of its past. A retrodiction makes a claim about its past given knowledge of its future. The bidirectional machine…